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Finding the Fourth Proportional to 157,381, 217,185.78 and 86,725

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Solution

The fourth proportional to 157,381, 217,185.78 and 86,725 is: 119,680.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,381 : 217,185.78 = 86,725 : x
  2. Step 2: Convert to fraction form
    157,381/217,185.78 = 86,725/x
  3. Step 3: Cross multiply
    157,381x = 217,185.78 × 86,725
  4. Step 4: Simplify right side
    157,381x = 18,835,436,770.50
  5. Step 5: Solve for x
    x = 18,835,436,770.50/157,381
  6. Step 6: Final answer
    x = 119,680.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.